Answer:
Step-by-step explanation:
a). Equation of the function drawn is,
y = x² - x - 2
Table for the input-output values,
x -3 -2 -1 0 1 2 3
y 10 4 0 -2 -2 0 4
From the table,
x-intercepts → (-1, 0) and (2, 0)
y- intercepts → (0, -2)
b). Out of 3 graphs blue graph represents the table.
(Graph passing through x = -1, 2)
c). x² - x - 2 = 3
x² - x - 5 = 0
By quadratic formula,
x = [tex]\frac{1\pm \sqrt{(-1)^2-4(1)(-5)}}{2(1)}[/tex]
x = [tex]\frac{1\pm \sqrt{21}}{2}[/tex]
x = [tex]\frac{1\pm 4.58}{2}[/tex]
x = -1.79, 2.79
x ≈ -1.8, 2.8
